> > If you take a set of nodes, and the parent/child> > relationships, that contains all finite paths then> > you have a tree that contains all finite paths. This tree contains> > subsets of nodes that do not correspond to any finite path.> > Some of these subsets are the subsets that correspond to what> > might be termed infinite paths. However, if you use a definition> > of path that excludes infinite paths, these subsets of nodes> > remain, but they are not paths.>> They are path in an infinite Binary Tree.

How do you know these subsets are paths?There are subsets of nodes that are not paths(e.g. the subset consisting of all nodesat a level greater than 5).